80252383959216 has 1280 divisors, whose sum is σ = 284781439488000. Its totient is φ = 21396319174656.

The previous prime is 80252383959203. The next prime is 80252383959257. The reversal of 80252383959216 is 61295938325208.

80252383959216 is a `hidden beast` number, since 8 + 0 + 2 + 5 + 2 + 3 + 8 + 39 + 592 + 1 + 6 = 666.

80252383959216 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×80252383959216² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 175606966860 + ... + 175606967316.

It is an arithmetic number, because the mean of its divisors is an integer number (222485499600).

Almost surely, 2^{80252383959216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80252383959216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142390719744000).

80252383959216 is an abundant number, since it is smaller than the sum of its proper divisors (204529055528784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

80252383959216 is a wasteful number, since it uses less digits than its factorization.

80252383959216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 80252383959216 in words is "eighty trillion, two hundred fifty-two billion, three hundred eighty-three million, nine hundred fifty-nine thousand, two hundred sixteen".